is 2 27777413 - 1
has 8361835 decimal digits
takes 25.713 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2694.298063.7681%285000346342502.89456.2152%7.192566.0200%2.2519%
PrimeNet2660.531762.1212%13000045000000.49415.2872%1.025764.1239%2.0027%
GPU722708.602364.2857%20000060000000.69263.9159%9.294965.6843%1.3985%
Difference-1-4.3044-0.5176%+85000+28634250+2.2019+2.2993%-2.1025+0.3357%+0.3357%

Known prime factors (4 factors, 188.8 bits, 0.00067969% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27777413819989231771136.2551476
22 × 32 × 41
-9414.349e-101.442e-52.459e-5
2777741359447552657831342.435107007
3 × 53 × 673
2008-10-01536732.450e-80.00010.0001
2777741315956943783995771650.50328722876
22 × 3 × 7 × 13 × 29 × 907
2014-06-02299075.792e-60.00010.0001
277774138785457089529100071859.60815814030431
3 × 167 × 811 × 38921
2015-12-01811389210.00360.00390.0053

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
277774134874635303450064337525912478.690
277774131308452207483576826322961292786.758
2777741394860125585712163428097737912892.938
27777413720398020959126687745875322392995.863
27777413522273922952887069129456539048131102.043
27777413140189044894322942365611756786703934110.111
2777741377784281504633838177750553741295705400739129.193
2777741342825899285564203771902995013165452607813742138.298
2777741311495350722546591034466397091360941471146290345146.366
27777413833389562840615702390516909975931497085022653746152.546
2777741368337046739881260875699891354435831748489372018050
9748049
57188.801
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-19T23:33:13masserManual testing28500034634250-
skipped known factor: 81998923177
skipped known factor: 5944755265783
skipped known factor: 1595694378399577
skipped known factor: 878545708952910007
--2.894--6.215%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-10-01T01:55:00markrManual testing??42.435133.41044e-952.957.02246e-9
2014-06-02T12:34:00TJAOIManual testing??50.503163.92707e-752.958.08626e-7
2015-12-01T12:48:48TJAOIManual testing259260*59.608180.00152.940.002
2022-08-10T19:28:59LordJuliusManual testing2126550.503165.79243e-652.951.19272e-5
2022-08-10T19:28:59LordJuliusManual testing2126542.435132.45031e-852.955.04545e-8
2022-08-10T19:28:59LordJuliusManual testing2126536.255114.34865e-1052.958.95434e-10
2022-08-10T19:28:59LordJuliusManual testing2126559.608180.00452.940.007
2022-08-10T19:28:59LordJuliusManual testing265266--0.269--
2022-08-10T19:28:59LordJuliusManual testing266267--0.538--
2022-08-10T19:28:59LordJuliusManual testing267268--1.076--
2022-08-03T12:34:05masserManual testing267269--3.228--


ECM factoring results:
No ECM results for M27777413


Lucas-Lehmer results:
No L-L results for M27777413


PRP results:
No PRP results for M27777413


P-1 factor-bounds graph:
B1 = 285000, B2 = 34634250 (P-1 stage 2)
B1 = 285000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-08-10T19:28:59+00:00